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Finding the Third Proportional to 902,213 and 1,878,826

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Solution

The third proportional to 902,213 and 1,878,826 is: 3,912,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,213 : 1,878,826 = 1,878,826 : x
  2. Step 2: Convert to fraction form
    902,213/1,878,826 = 1,878,826/x
  3. Step 3: Cross multiply
    902,213x = 1,878,826 × 1,878,826
  4. Step 4: Simplify right side
    902,213x = 3,529,987,138,276
  5. Step 5: Solve for x
    x = 3,529,987,138,276/902,213
  6. Step 6: Final answer
    x = 3,912,587.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.